The amount of water consumed each week by Montana residences is normally distributed. A simple random sample of 10 residences was taken with a sample mean of 119.3 gallons and a standard deviation of 10.0 gallons. Test the claim at the 0.10 SL that the average amount of water consumed is not 125 gallons. We want to do a hypothesis test with a 90% significant level. a. List the hypothesis for the problem and list whether it is one sided or two sided.
b. List the significant level for the test given whether it is one sided or two sided.
c. Calculate the z-stat and show your work
d. Make your conclusion and please state if we should reject the hypothesis or fail to reject and why